# Grade 7: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 16 concepts ready. In the app: https://ai.page/roadmap/oh-grade-7 Part of: [Ohio: Mathematics](https://ai.page/roadmap/oh.md) Goal: Ohio academic standards: Mathematics, Grade 7 ## 1. Statistics and Probability · Find probabilities of compound events using organized lists, tables, tree diagrams, and simulations. - [Tree diagrams](https://ai.page/c/tree-diagrams/index.md): Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes ## 2. Statistics and Probability · Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain p - [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability ## 3. Statistics and Probability · Describe and analyze distributions. - [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers ## 4. Statistics and Probability · Broaden statistical reasoning by using the GAISE model: - [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations ## 5. Expressions and Equations · Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quan - [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients ## 6. The Number System · Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. - [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers - [Sign Rules for Multiplication](https://ai.page/c/sign-rules-for-multiplication/index.md): Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient ## 7. The Number System · Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number lin - [Positive and Negative Numbers](https://ai.page/c/positive-and-negative-numbers/index.md): Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances ## 8. Ratios and Proportional Relationships · Recognize and represent proportional relationships between quantities. - [Proportion Graphs](https://ai.page/c/proportion-graphs/index.md): Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed - [Proportional Reasoning Vocabulary](https://ai.page/c/proportional-reasoning-vocabulary/index.md): Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts - [Ratio Notation](https://ai.page/c/ratio-notation/index.md): Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations - [Ratio Notation and Relationships](https://ai.page/c/ratio-notation-and-relationships/index.md): Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios ## 9. Geometry · Work with circles. - [Parts of a circle](https://ai.page/c/parts-of-a-circle/index.md): Illustrate and name parts of circles, including radius, diameter, and circumference; know that the diameter is twice the radius - [Circles: Circumference & Area](https://ai.page/c/circles-circumference-and-area/index.md): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts ## 10. Geometry · Draw (freehand, with ruler and protractor, and with technology) geometric figures with given conditions. - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths - [Measuring angles (age 11+)](https://ai.page/c/measuring-angles-age-11/index.md): Draw and measure line segments and angles accurately using ruler and protractor, and interpret scale drawings to extract real measurements ## Health: 0 of 100 Of its 16 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Tree diagrams comes before Experimental probability, which it needs - Tree diagrams has no explanation yet - Experimental probability has no explanation yet - Comparing measurements has no explanation yet - Algebraic Transformations comes before Solving Linear Equations, which it needs - Algebraic Transformations has no explanation yet - Solving Linear Equations has no explanation yet - Number Sets & Infinity has no explanation yet - Sign Rules for Multiplication comes before Positive and Negative Numbers, which it needs - Sign Rules for Multiplication has no explanation yet - Positive and Negative Numbers has no explanation yet - Proportion Graphs has no explanation yet - Proportional Reasoning Vocabulary has no explanation yet - Ratio Notation has no explanation yet - Ratio Notation and Relationships has no explanation yet - Parts of a circle has no explanation yet - Circles: Circumference & Area has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Measuring angles (age 11+) has no explanation yet Credit: The structure of Ohio academic standards: Mathematics (http://education.ohio.gov/getattachment/Topics/Learning-in-Ohio/Mathematics/Ohio-s-Learning-Standards-in-Mathematics/MATH-Standards-2017.pdf.aspx); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.